Research on nitrogen-enrich air optimal distribution mode based on entropy-weight improvement TOPSIS method
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摘要:
通过将统计学理论应用于富氮气体分配方式理论研究中,并基于熵权改进的优劣解距离(technique for order preference by similarity to an ideal solution, TOPSIS)法理论建立氧气体积分数下降速度特性和均匀特性综合评价方法。在此基础上,以某型运输机机翼多隔舱油箱为例,设计了5种典型惰化方案,通过数值仿真方法对以上方案进行建模和计算,获取了多隔舱油箱惰化的各项特性指标,并运用建立的综合评价方法对各方案进行了评价。研究结果表明:①基于熵权改进的TOPSIS理论可有效评价燃油箱惰化性能,实现惰化系统最优分配方式的确定;②综合考虑氧气体积分数下降速度特性和均匀特性时,半均匀进气的富氮气体分配方式为最佳;③速度性为唯一评价指标时,非均匀进气的富氮气体分配方式为最佳;均匀性为唯一评价指标时,半均匀进气的富氮气体分配方式为最佳。
Abstract:The nitrogen-rich air distribution method was studied by using statistical theory, the Entropy-weight improvement technique for order preference by similarity to an ideal solution (TOPSIS) method was applied to establish a comprehensive evaluation method of oxygen concentration decrease rate and uniformity. On this basis, five typical inerting schemes were designed for the wing multi-compartment fuel tank of a transport aircraft. Through numerical simulation method, the above schemes were modeled and calculated, the characteristic indexes of multi-compartment fuel tank were obtained, and the established comprehensive evaluation method was used to evaluate each scheme. The results showed that: (1) the entropy-weight improvement TOPSIS method can effectively evaluate the fuel tank inerting performance and realize the determination of the optimal nitrogen-rich air distribution mode; (2) the semi-uniform inlet distribution mode of nitrogen-rich air was the best when considering the characteristics of oxygen concentration decrease rate and uniformity; (3) when the oxygen concentration decrease rate was taken as the only evaluation index, the non-uniform inlet distribution mode of nitrogen-rich air was the best; when the oxygen concentration uniformity was the only evaluation index, the semi-uniform inlet distribution mode of nitrogen-rich air intake was the best.
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表 1 各方案的入口流量大小
Table 1. Inlet flow rate of each schemes
方案 气体入口位置 每个入口流量/(kg/s) 1 隔舱1 0.75 2 隔舱1、2、3、4 0.1875 3 隔舱1、2 0.375 4 隔舱1、3 0.375 5 隔舱1、4 0.375 表 2 5种方案的速度性指标
Table 2. Decrease rate index of five schemes
方案 隔舱1/s 隔舱2/s 隔舱3/s 隔舱4/s 1 23.25 76.47 98.24 124.97 2 96.99 114.06 117.32 114.14 3 48.63 59.00 96.34 124.39 4 45.87 149.03 74.60 113.26 5 47.46 154.91 204.96 105.64 表 3 5种方案的均匀性指标
Table 3. Uniformity index of five schemes
方案 隔舱1/10−2 隔舱2/10−2 隔舱3/10−2 隔舱4/10−2 1 2.10 0.66 0.56 2.19 2 0.77 1.55 1.75 1.60 3 1.59 1.36 0.36 2.17 4 1.65 3.45 0.08 1.52 5 1.60 3.84 6.15 1..36 表 4 综合评价的熵值与熵权
Table 4. Entropy value and entropy weight of comprehensive evaluation
指标 熵值Ej 熵权Wj 速度性 隔舱1 0.938 0.087 隔舱2 0.961 0.054 隔舱3 0.959 0.058 隔舱4 0.999 0.002 均匀性 隔舱1 0.973 0.038 隔舱2 0.895 0.148 隔舱3 0.575 0.597 隔舱4 0.988 0.017 表 5 综合评价结果
Table 5. Comprehensive evaluation results
方案 Di+ Di− Ci 排名 1 0.529 0.047 0.081 2 2 0.414 0.164 0.284 4 3 0.543 0.037 0.064 1 4 0.565 0.078 0.122 3 5 0.034 0.570 0.944 5 表 6 速度性指标的熵权
Table 6. Entropy weight of decrease rate index
参数 速度性 隔舱1 隔舱2 隔舱3 隔舱4 熵值Ej 0.938 0.961 0.959 0.999 熵权Wj 0.433 0.270 0.288 0.009 表 7 速度性指标的评价结果
Table 7. Evaluation results of decrease rate index
方案 Di+ Di− Ci 排名 1 0.282 0.030 0.096 1 2 0.099 0.258 0.723 5 3 0.220 0.088 0.286 2 4 0.217 0.120 0.356 3 5 0.166 0.184 0.526 4 表 8 均匀性指标的熵权
Table 8. Entropy weight of uniformity index
参数 均匀性 隔舱1 隔舱2 隔舱3 隔舱4 熵值Ej 0.973 0.895 0.575 0.988 熵权Wj 0.433 0.270 0.288 0.009 表 9 均匀性指标的评价结果
Table 9. Evaluation results of uniformity index
方案 Di+ Di− Ci 排名 1 0.658 0.058 0.081 2 2 0.517 0.195 0.274 4 3 0.677 0.041 0.057 1 4 0.704 0.093 0.117 3 5 0.008 0.712 0.989 5 -
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